Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales(Synthesis Lectures on Mathematics )

时间尺度上的动态方程与几乎周期性的模糊函数

数学分析

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作      者
出  版 社
出版时间
2022年08月24日
装      帧
精装
ISBN
9783031112355
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页      码
176
语      种
英文
版      次
1
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图书简介
This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and uncertainty theory. The authors introduce a new division of fuzzy vectors depending on a determinant algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems on time scales. Several applications are studied; in particular, a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems) is presented. The results are not only effective on classical fuzzy dynamic systems, including their continuous and discrete situations, but are also valid for other fuzzy multidimensional dynamic systems on various hybrid domains. In an effort to achieve more accurate analysis in real world applications, the authors propose a number of uncertain factors in the theory. As such, fuzzy dynamical models, interval-valued functions, differential equations, fuzzy-valued differential equations, and their applications to dynamic equations on time scales are considered.Introduces readers to the almost periodic theory of fuzzy dynamical equations on time scalesPresents comprehensive real-world applications in industrial engineering, systems science, and cyberneticsIncludes cutting-edge research results and a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems)
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